TSTP Solution File: GRP420-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:19:36 EDT 2023
% Result : Unsatisfiable 0.52s 1.07s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
inverse: $i > $i ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
a3: $i ).
tff(decl_25,type,
b3: $i ).
tff(decl_26,type,
c3: $i ).
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(c_0_2,axiom,
inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
multiply(inverse(multiply(a3,inverse(multiply(inverse(inverse(X1)),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)) = X1,
inference(rw,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(inverse(X2),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_6,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(X2)),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(multiply(X2,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_3]),c_0_3]),c_0_6]) ).
cnf(c_0_8,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(X5)),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(X2,inverse(multiply(multiply(X4,X6),inverse(multiply(inverse(multiply(X4,X6)),multiply(X4,X6))))))))),X5),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_9,plain,
inverse(multiply(inverse(multiply(X1,multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))),multiply(X1,X3))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(inverse(inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(X2,inverse(multiply(multiply(X4,X5),inverse(multiply(inverse(multiply(X4,X5)),multiply(X4,X5)))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_8]),c_0_6]),c_0_3]) ).
cnf(c_0_10,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),multiply(inverse(multiply(X5,inverse(multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6))) = multiply(inverse(multiply(a3,inverse(multiply(inverse(X4),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_7]),c_0_3]) ).
cnf(c_0_11,plain,
multiply(inverse(multiply(a3,inverse(multiply(inverse(X1),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)) = multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_9]),c_0_3]),c_0_6]),c_0_6]) ).
cnf(c_0_12,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3))))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_9]),c_0_6]),c_0_6]) ).
cnf(c_0_13,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(inverse(X4),inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),multiply(inverse(multiply(X5,inverse(multiply(X2,inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6))) = multiply(inverse(inverse(multiply(inverse(multiply(a3,X4)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3))))),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X3)) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_12]),c_0_6]) ).
cnf(c_0_15,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(a3,X1)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_13]),c_0_6]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X5))) = multiply(inverse(multiply(X6,inverse(X3))),multiply(X6,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_17,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),inverse(X3))),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) = multiply(inverse(multiply(a3,inverse(X3))),multiply(a3,multiply(X1,X5))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_16]) ).
cnf(c_0_19,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_11]),c_0_6]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X4,X2)),multiply(X4,X5))) = multiply(inverse(multiply(a3,X3)),multiply(a3,multiply(X1,X5))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
multiply(X1,multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(X2,X3))) = multiply(inverse(multiply(a3,multiply(a3,a3))),multiply(a3,multiply(a3,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_11]),c_0_19]) ).
cnf(c_0_22,plain,
multiply(inverse(X1),X1) = multiply(inverse(multiply(a3,multiply(a3,a3))),multiply(a3,multiply(a3,a3))),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_23,plain,
multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
inference(spm,[status(thm)],[c_0_22,c_0_22]) ).
cnf(c_0_24,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X2),X2)))))) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_25,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))))) = X2,
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_26,plain,
multiply(inverse(multiply(a3,inverse(multiply(inverse(X1),X1)))),multiply(a3,a3)) = multiply(a3,inverse(multiply(inverse(a3),a3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_12]) ).
cnf(c_0_27,plain,
inverse(multiply(inverse(X1),X1)) = inverse(inverse(multiply(inverse(X2),X2))),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_28,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,a3)) = multiply(a3,inverse(multiply(inverse(a3),a3))),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_29,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(multiply(X1,X3)),multiply(X1,X3))))))))),multiply(inverse(multiply(a3,inverse(multiply(inverse(X2),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))) = multiply(inverse(multiply(X5,inverse(multiply(inverse(X4),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),multiply(X5,X6)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_3]) ).
cnf(c_0_30,plain,
multiply(inverse(X1),X1) = inverse(multiply(inverse(X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_27]),c_0_12]) ).
cnf(c_0_31,plain,
multiply(inverse(multiply(inverse(a3),inverse(multiply(inverse(X1),X1)))),multiply(inverse(X2),X2)) = multiply(a3,inverse(multiply(inverse(a3),a3))),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_32,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),inverse(multiply(X6,inverse(multiply(inverse(X6),X6)))))))),inverse(multiply(X2,inverse(multiply(multiply(X4,X6),inverse(multiply(inverse(a3),a3)))))))),multiply(inverse(inverse(multiply(inverse(multiply(a3,X5)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_29]),c_0_3]),c_0_6]),c_0_23]),c_0_11]) ).
cnf(c_0_33,plain,
inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(multiply(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X3,X5)),inverse(multiply(multiply(inverse(multiply(X6,inverse(multiply(inverse(X4),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X6,X7)),multiply(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X3,X5)))))))))),multiply(X1,multiply(inverse(multiply(X3,inverse(multiply(X4,inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X3,X5))))) = multiply(inverse(multiply(X8,inverse(multiply(inverse(X2),inverse(multiply(X9,inverse(multiply(inverse(X9),X9)))))))),multiply(X8,X9)),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_34,plain,
inverse(multiply(multiply(inverse(a3),a3),inverse(multiply(X1,multiply(inverse(a3),a3))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_35,plain,
multiply(inverse(multiply(inverse(a3),multiply(inverse(a3),a3))),multiply(inverse(X1),X1)) = multiply(a3,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30]),c_0_30]) ).
cnf(c_0_36,plain,
multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(a3),a3))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),multiply(inverse(a3),a3))))))),multiply(inverse(multiply(X5,inverse(multiply(X2,inverse(multiply(X6,multiply(inverse(a3),a3))))))),multiply(X5,X6))) = multiply(inverse(multiply(X7,inverse(multiply(X4,inverse(multiply(X8,multiply(inverse(a3),a3))))))),multiply(X7,X8)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_7]),c_0_30]),c_0_23]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_37,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),inverse(multiply(X6,inverse(multiply(multiply(X1,X5),inverse(multiply(inverse(multiply(X1,X5)),multiply(X1,X5))))))))),multiply(inverse(multiply(a3,inverse(multiply(multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),inverse(multiply(X4,inverse(multiply(inverse(X4),X4)))))))),multiply(X2,X4)),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))) = multiply(inverse(multiply(X7,inverse(multiply(inverse(X6),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X7,X8)),
inference(spm,[status(thm)],[c_0_29,c_0_29]) ).
cnf(c_0_38,plain,
multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_29]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_33]),c_0_11]) ).
cnf(c_0_39,plain,
inverse(multiply(inverse(a3),multiply(inverse(a3),a3))) = a3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_34]) ).
cnf(c_0_40,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(a3),a3))))))),multiply(X1,X3)) = multiply(inverse(multiply(a3,inverse(multiply(X2,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_7]),c_0_30]),c_0_30]),c_0_23]),c_0_30]),c_0_30]),c_0_36]) ).
cnf(c_0_41,plain,
multiply(multiply(inverse(X1),X1),multiply(inverse(X2),X2)) = multiply(inverse(a3),a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_30]),c_0_30]) ).
cnf(c_0_42,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),inverse(multiply(X3,multiply(inverse(a3),a3))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),multiply(inverse(a3),a3))))))),multiply(inverse(multiply(a3,inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)))) = multiply(inverse(inverse(multiply(inverse(multiply(a3,X4)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_23]),c_0_38]),c_0_38]),c_0_30]),c_0_30]),c_0_30]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_43,plain,
inverse(multiply(inverse(a3),multiply(inverse(X1),X1))) = a3,
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_44,plain,
multiply(inverse(multiply(a3,inverse(multiply(X1,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)) = multiply(X1,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_25]),c_0_30]),c_0_30]),c_0_30]),c_0_41]) ).
cnf(c_0_45,plain,
inverse(multiply(inverse(multiply(a3,inverse(multiply(X1,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3))) = multiply(inverse(inverse(multiply(inverse(multiply(a3,X1)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),
inference(rw,[status(thm)],[c_0_42,c_0_36]) ).
cnf(c_0_46,plain,
multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),multiply(X1,X3)) = multiply(a3,multiply(inverse(a3),X3)),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_47,plain,
multiply(a3,multiply(inverse(a3),multiply(inverse(X1),X1))) = multiply(inverse(a3),a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_30]) ).
cnf(c_0_48,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,inverse(multiply(X3,multiply(inverse(a3),a3))))))),multiply(X1,X3)) = multiply(X2,multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[c_0_40,c_0_44]) ).
cnf(c_0_49,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a3,X1)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))) = inverse(multiply(X1,multiply(inverse(a3),a3))),
inference(rw,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_50,plain,
inverse(multiply(X1,multiply(inverse(a3),a3))) = multiply(inverse(X1),multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_47]),c_0_30]),c_0_48]),c_0_30]),c_0_49]) ).
cnf(c_0_51,plain,
multiply(inverse(inverse(a3)),multiply(inverse(a3),a3)) = a3,
inference(spm,[status(thm)],[c_0_43,c_0_50]) ).
cnf(c_0_52,plain,
inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,multiply(inverse(X1),X1))))) = X2,
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
cnf(c_0_53,plain,
inverse(multiply(X1,multiply(inverse(X2),X2))) = multiply(inverse(X1),multiply(inverse(X2),X2)),
inference(spm,[status(thm)],[c_0_50,c_0_23]) ).
cnf(c_0_54,plain,
multiply(inverse(inverse(a3)),multiply(inverse(X1),X1)) = a3,
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
cnf(c_0_55,plain,
inverse(multiply(multiply(inverse(a3),a3),a3)) = inverse(a3),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_56,plain,
inverse(multiply(multiply(inverse(X1),X1),multiply(inverse(X2),multiply(inverse(X1),X1)))) = X2,
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
inverse(multiply(multiply(inverse(X1),X1),inverse(a3))) = inverse(inverse(a3)),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_58,plain,
inverse(multiply(multiply(inverse(X1),X1),a3)) = inverse(a3),
inference(spm,[status(thm)],[c_0_55,c_0_23]) ).
cnf(c_0_59,plain,
multiply(inverse(a3),multiply(inverse(inverse(a3)),X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_54]),c_0_46]) ).
cnf(c_0_60,plain,
multiply(multiply(inverse(a3),a3),multiply(multiply(inverse(a3),a3),X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_30]),c_0_30]) ).
cnf(c_0_61,plain,
multiply(multiply(inverse(X1),X1),inverse(a3)) = inverse(a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_54]),c_0_58]) ).
cnf(c_0_62,plain,
inverse(multiply(a3,multiply(inverse(a3),inverse(a3)))) = a3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_59]),c_0_54]) ).
cnf(c_0_63,plain,
multiply(a3,multiply(inverse(a3),inverse(a3))) = inverse(a3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61]) ).
cnf(c_0_64,plain,
multiply(inverse(inverse(inverse(a3))),multiply(inverse(a3),a3)) = inverse(a3),
inference(spm,[status(thm)],[c_0_50,c_0_54]) ).
cnf(c_0_65,plain,
inverse(inverse(a3)) = a3,
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,plain,
multiply(inverse(inverse(inverse(a3))),multiply(inverse(X1),X1)) = inverse(a3),
inference(spm,[status(thm)],[c_0_64,c_0_23]) ).
cnf(c_0_67,plain,
multiply(inverse(X1),X1) = multiply(a3,inverse(a3)),
inference(spm,[status(thm)],[c_0_23,c_0_65]) ).
cnf(c_0_68,plain,
multiply(inverse(inverse(inverse(inverse(a3)))),multiply(inverse(X1),X1)) = inverse(inverse(a3)),
inference(spm,[status(thm)],[c_0_53,c_0_66]) ).
cnf(c_0_69,plain,
multiply(multiply(a3,inverse(a3)),inverse(a3)) = inverse(a3),
inference(rw,[status(thm)],[c_0_61,c_0_67]) ).
cnf(c_0_70,plain,
inverse(multiply(X1,multiply(a3,inverse(a3)))) = multiply(inverse(X1),multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_67]),c_0_67]) ).
cnf(c_0_71,plain,
multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))) = multiply(a3,inverse(a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_72,plain,
multiply(a3,multiply(a3,inverse(a3))) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_65]),c_0_65]),c_0_65]),c_0_67]) ).
cnf(c_0_73,plain,
inverse(multiply(multiply(a3,inverse(a3)),a3)) = inverse(a3),
inference(spm,[status(thm)],[c_0_58,c_0_65]) ).
cnf(c_0_74,plain,
multiply(inverse(a3),multiply(inverse(X1),X1)) = multiply(a3,multiply(inverse(a3),inverse(a3))),
inference(spm,[status(thm)],[c_0_59,c_0_23]) ).
cnf(c_0_75,plain,
multiply(inverse(multiply(X1,inverse(a3))),multiply(X1,X2)) = multiply(a3,multiply(multiply(a3,inverse(a3)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_69]),c_0_65]) ).
cnf(c_0_76,plain,
inverse(multiply(a3,inverse(a3))) = multiply(a3,inverse(a3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_67]) ).
cnf(c_0_77,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a3,X1)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))) = multiply(inverse(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3)))),inverse(multiply(X3,multiply(inverse(a3),a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_38]),c_0_30]),c_0_30]) ).
cnf(c_0_78,plain,
multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(a3,inverse(a3)))) = multiply(inverse(multiply(a3,X2)),a3),
inference(spm,[status(thm)],[c_0_17,c_0_72]) ).
cnf(c_0_79,plain,
multiply(multiply(a3,inverse(a3)),a3) = a3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_73]),c_0_67]),c_0_74]),c_0_63]),c_0_69]),c_0_65]) ).
cnf(c_0_80,plain,
multiply(multiply(a3,inverse(a3)),multiply(a3,X1)) = multiply(a3,multiply(multiply(a3,inverse(a3)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_67]),c_0_76]),c_0_65]) ).
cnf(c_0_81,plain,
multiply(inverse(a3),multiply(a3,X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_82,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),inverse(multiply(X3,multiply(inverse(a3),a3)))) = inverse(multiply(X2,multiply(inverse(a3),a3))),
inference(rw,[status(thm)],[c_0_77,c_0_49]) ).
cnf(c_0_83,plain,
multiply(inverse(multiply(a3,a3)),a3) = inverse(a3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_69]),c_0_81]),c_0_63]) ).
cnf(c_0_84,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),multiply(inverse(a3),a3))) = multiply(inverse(X2),multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_50]),c_0_50]) ).
cnf(c_0_85,plain,
multiply(inverse(multiply(X1,a3)),multiply(X1,X2)) = multiply(a3,multiply(inverse(multiply(a3,a3)),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_83]),c_0_65]) ).
cnf(c_0_86,plain,
multiply(inverse(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)))),multiply(inverse(X3),multiply(a3,inverse(a3)))) = multiply(inverse(X2),multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_67]),c_0_67]) ).
cnf(c_0_87,plain,
multiply(inverse(inverse(X1)),multiply(a3,inverse(a3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_85]),c_0_83]),c_0_76]),c_0_70]),c_0_86]) ).
cnf(c_0_88,plain,
multiply(inverse(multiply(inverse(inverse(X1)),inverse(X2))),X1) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_87]),c_0_67]),c_0_76]),c_0_80]),c_0_69]),c_0_76]),c_0_87]) ).
cnf(c_0_89,plain,
multiply(multiply(a3,inverse(a3)),multiply(multiply(a3,inverse(a3)),X1)) = multiply(a3,multiply(inverse(a3),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_67]),c_0_67]) ).
cnf(c_0_90,plain,
multiply(multiply(a3,inverse(a3)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_67]),c_0_76]) ).
cnf(c_0_91,plain,
multiply(inverse(multiply(X1,inverse(multiply(X2,multiply(inverse(X3),multiply(a3,inverse(a3))))))),multiply(X1,X3)) = multiply(X2,multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_50]),c_0_67]),c_0_67]) ).
cnf(c_0_92,plain,
multiply(multiply(inverse(X1),multiply(a3,inverse(a3))),multiply(X1,X2)) = multiply(a3,multiply(inverse(a3),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_53]),c_0_67]) ).
cnf(c_0_93,plain,
multiply(a3,multiply(inverse(a3),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_90]) ).
cnf(c_0_94,plain,
multiply(X1,multiply(a3,inverse(a3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_67]),c_0_76]),c_0_70]),c_0_92]),c_0_93]),c_0_70]),c_0_87]) ).
cnf(c_0_95,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[c_0_87,c_0_94]) ).
cnf(c_0_96,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)),inverse(multiply(multiply(inverse(multiply(X4,inverse(multiply(inverse(X3),inverse(multiply(X5,inverse(multiply(inverse(X5),X5)))))))),multiply(X4,X5)),multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))))))))),inverse(multiply(X6,inverse(multiply(multiply(X1,multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3))),inverse(multiply(inverse(a3),a3)))))))),multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3))))))) = multiply(inverse(multiply(X7,inverse(multiply(inverse(X6),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X7,X8)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_29]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]),c_0_32]),c_0_23]),c_0_11]) ).
cnf(c_0_97,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_95]),c_0_95]) ).
cnf(c_0_98,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)),inverse(multiply(multiply(inverse(inverse(multiply(inverse(multiply(a3,X3)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3)))))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,multiply(inverse(multiply(a3,inverse(multiply(X3,inverse(multiply(a3,multiply(inverse(a3),a3))))))),multiply(a3,a3))),multiply(inverse(a3),a3))))))),multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))))) = multiply(inverse(inverse(multiply(inverse(multiply(a3,X4)),multiply(a3,a3)))),inverse(multiply(a3,multiply(inverse(a3),a3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_38]),c_0_38]),c_0_30]),c_0_30]),c_0_30]),c_0_30]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_99,plain,
multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_97]),c_0_95]) ).
cnf(c_0_100,plain,
multiply(inverse(X1),multiply(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_101,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(inverse(a3),a3)),multiply(inverse(a3),a3)))))),inverse(multiply(X4,multiply(inverse(multiply(X1,multiply(X3,multiply(inverse(a3),a3)))),multiply(inverse(a3),a3)))))),multiply(inverse(X2),multiply(inverse(a3),a3)))) = multiply(inverse(X4),multiply(inverse(a3),a3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_44]),c_0_49]),c_0_44]),c_0_23]),c_0_30]),c_0_44]),c_0_49]),c_0_49]),c_0_53]),c_0_50]),c_0_50]),c_0_50]),c_0_50]) ).
cnf(c_0_102,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_95]) ).
cnf(c_0_103,plain,
multiply(multiply(X1,inverse(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_88]),c_0_95]),c_0_95]) ).
cnf(c_0_104,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(a3,inverse(a3))),multiply(a3,inverse(a3))))))),inverse(multiply(X4,multiply(inverse(multiply(X1,multiply(X3,multiply(a3,inverse(a3))))),multiply(a3,inverse(a3))))))),multiply(inverse(X2),multiply(a3,inverse(a3))))) = multiply(inverse(X4),multiply(a3,inverse(a3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_67]),c_0_67]),c_0_67]),c_0_67]),c_0_67]),c_0_67]) ).
cnf(c_0_105,plain,
multiply(inverse(X1),inverse(X2)) = inverse(multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_97,c_0_100]) ).
cnf(c_0_106,plain,
inverse(multiply(X1,inverse(X2))) = multiply(X2,inverse(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_88]),c_0_95]) ).
cnf(c_0_107,plain,
inverse(multiply(inverse(X1),X2)) = multiply(inverse(X2),X1),
inference(spm,[status(thm)],[c_0_103,c_0_97]) ).
cnf(c_0_108,plain,
multiply(inverse(inverse(multiply(inverse(multiply(a3,multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(multiply(inverse(X3),X3)))))))),inverse(multiply(X4,inverse(multiply(multiply(X1,X3),inverse(multiply(inverse(a3),a3)))))))),multiply(inverse(inverse(multiply(inverse(multiply(a3,X2)),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3)))))))),multiply(a3,a3)))),inverse(multiply(a3,inverse(multiply(inverse(a3),a3))))) = multiply(inverse(multiply(X5,inverse(multiply(multiply(inverse(multiply(X6,inverse(multiply(inverse(X4),inverse(multiply(X7,inverse(multiply(inverse(X7),X7)))))))),multiply(X6,X7)),inverse(multiply(X8,inverse(multiply(inverse(X8),X8)))))))),multiply(X5,X8)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_29]),c_0_23]),c_0_11]),c_0_3]),c_0_11]) ).
cnf(c_0_109,plain,
multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X3)),inverse(X3)) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_94]),c_0_94]),c_0_95]) ).
cnf(c_0_110,plain,
multiply(X1,inverse(multiply(multiply(X2,inverse(multiply(X3,X4))),multiply(X3,multiply(X4,X1))))) = inverse(X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_94]),c_0_105]),c_0_95]),c_0_106]),c_0_107]),c_0_106]),c_0_106]) ).
cnf(c_0_111,plain,
multiply(inverse(multiply(X1,multiply(X2,X3))),multiply(X1,X2)) = inverse(X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_95]),c_0_30]),c_0_67]),c_0_94]),c_0_30]),c_0_67]),c_0_94]),c_0_95]),c_0_30]),c_0_67]),c_0_94]),c_0_30]),c_0_67]),c_0_94]),c_0_38]),c_0_95]),c_0_30]),c_0_67]),c_0_94]),c_0_30]),c_0_67]),c_0_94]),c_0_105]),c_0_95]),c_0_106]),c_0_107]),c_0_106]),c_0_109]),c_0_109]),c_0_106]),c_0_110]),c_0_109]),c_0_105]),c_0_95]) ).
cnf(c_0_112,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
prove_these_axioms_3 ).
cnf(c_0_113,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_111]),c_0_95]),c_0_95]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP420-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 00:22:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.52/1.07 % Version : CSE_E---1.5
% 0.52/1.07 % Problem : theBenchmark.p
% 0.52/1.07 % Proof found
% 0.52/1.07 % SZS status Theorem for theBenchmark.p
% 0.52/1.07 % SZS output start Proof
% See solution above
% 0.52/1.08 % Total time : 0.506000 s
% 0.52/1.08 % SZS output end Proof
% 0.52/1.08 % Total time : 0.509000 s
%------------------------------------------------------------------------------